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arXiv · hep-th/9412191

Deformed 2d CFT: Landau-Ginzburg Lagrangians and Toda theories

Jose Gaite
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Abstract

We consider the relation between affine Toda field theories (ATFT) and Landau-Ginzburg Lagrangians as alternative descriptions of deformed 2d CFT. First, we show that the two concrete implementations of the deformation are consistent once quantum corrections to the Landau-Ginzburg Lagrangian are taken into account. Second, inspired by Gepner's fusion potentials, we explore the possibility of a direct connection between both types of Lagrangians; namely, whether they can be transformed one into another by a change of variables. This direct connection exists in the one-variable case, namely, for the sine-Gordon model, but cannot be established in general. Nevertheless, we show that both potentials exhibit the same structure of extrema.

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Jose Gaite. 1994-12-21. Deformed 2d CFT: Landau-Ginzburg Lagrangians and Toda theories. https://arxiv.org/abs/hep-th/9412191

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